Uhm, don't you already have
two threads regarding this in the Nvidia GPU subforum? Did you not like that I pointed out how you're making bad choices and hope for someone to tell you otherwise here?
Yes, you can use it at 144Hz.
Yes, buying a FreeSync monitor for your 1080Ti is still silly, even in the General Hardware forum. You're buying a monitor whose flagship feature you'll never* be able to use.
Yes, you'll still be CPU limited in GTA V with your non-overclocked 6700K at 1080p.
No, given that the (Google translated) product info states "Accessories: power cable, DVI-D (dual-link), DisplayPort cable, USB cable, audio cable, quick start guide, safety guide", it doesn't seem like it comes with a HDMI cable. But given that it comes with a DisplayPort cable, why does that matter? DP is at the very least equal to HDMI, and in many ways superior.
As I said in the other threads: you made a bad choice selling your 1080 to buy a 1080Ti when you're still using a 1080p60 monitor and can't afford to upgrade that as well. You should have gone the other way around, spending your money now on a 1440p144 panel or similar. But the damage is done. Make the best of it, keep your monitor for a little while, save up until you can buy a suitable monitor. Don't waste your money now buying a monitor that's not really suited to your needs.
Or, of course, buy something
like this and save some money by not paying for a feature you can't use. You'd still be silly for buying a 1080p panel for use with a GTX 1080Ti (this is
barely understandable for twitch gamers needing near-zero response times, for GTA V it's just weird), but at least you wouldn't be buying a panel with a prominent AMD-only feature for your Nvidia GPU.
*well, unless you buy an AMD GPU in 3-4 years time when your 1080Ti becomes obsolete.
Edit: I hadn't seen your last posts in the other thread. Please don't buy a monitor to use for 6 months. You'll lose money on it (can't sell a 6mo used monitor for full price, after all), and gain pretty much nothing in the meantime. Besides, it'll take you
longer to save up for a better one if you spend all your money now! Have a little patience, save your money, try curbing the impulse to spend every dime you have. You'll be better off in the long run.